Finite Group Databasebeta

← Group #10814907

Character table — Group #10814907

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222222222222222224444444444444444444444444444444444444466666666888888888888888888881212121212121212121212122424242424242424
order122222223444444446666666888888881212121212121212444444444488881212121212121212242424242424242424242424242424244444444444441212121212121212121212121212121244448888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1
χ9111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ10111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ11111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ12111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ171-1-1111-1-11ii−i−i-111-11-1-111-1-11111-1-1-1-1iiii−i−i−i−ii−i11-1-111-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−i11-1-1ii−i−i11-1-1ii−i−ii−i1-111-1-1ii−i−i1-11-1i−ii−i
χ181-1-1111-1-11ii−i−i-111-11-1-111-1-11111-1-1-1-1iiii−i−i−i−ii−i11-1-111-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i−i−iii-1-111i−ii−i11-1-1ii−i−i11-1-1ii−i−i−ii-11-1-111−i−iii-11-11−ii−ii
χ191-1-1111-1-11ii−i−i-111-11-1-111-1-11111-1-1-1-1iiii−i−i−i−ii−i-1-111-1-111ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1−ii−ii-1-111−i−iii-1-111−i−iiii−i1-111-1-1ii−i−i-11-11−ii−ii
χ201-1-1111-1-11ii−i−i-111-11-1-111-1-11111-1-1-1-1iiii−i−i−i−ii−i-1-111-1-111ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i−i−iii-1-111−ii−ii-1-111−i−iii-1-111−i−iii−ii-11-1-111−i−iii1-11-1i−ii−i
χ211-1-1111-1-11ii−i−i-111-11-1-111-1-1-1-1-1-11111iiii−i−i−i−ii−i11-1-1-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1i−i−ii11-1-1ii−i−i-1-111−i−iiii−i1-1-1-111−i−iii1-1-11i−i−ii
χ221-1-1111-1-11ii−i−i-111-11-1-111-1-1-1-1-1-11111iiii−i−i−i−ii−i11-1-1-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii−i−iii-1-111i−i−ii11-1-1ii−i−i-1-111−i−iii−ii-1111-1-1ii−i−i-111-1−iii−i
χ231-1-1111-1-11ii−i−i-111-11-1-111-1-1-1-1-1-11111iiii−i−i−i−ii−i-1-11111-1-1−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1−iii−i-1-111−i−iii11-1-1ii−i−ii−i1-1-1-111−i−iii-111-1−iii−i
χ241-1-1111-1-11ii−i−i-111-11-1-111-1-1-1-1-1-11111iiii−i−i−i−ii−i-1-11111-1-1−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii−i−iii-1-111−iii−i-1-111−i−iii11-1-1ii−i−i−ii-1111-1-1ii−i−i1-1-11i−i−ii
χ251-1-1111-1-11−i−iii-111-11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−ii11-1-111-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111−ii−ii11-1-1−i−iii11-1-1−i−iiii−i-11-1-111ii−i−i-11-11i−ii−i
χ261-1-1111-1-11−i−iii-111-11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−ii11-1-111-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii11-1-1−i−iii11-1-1−i−iii−ii1-111-1-1−i−iii1-11-1−ii−ii
χ271-1-1111-1-11−i−iii-111-11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−ii-1-111-1-111−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111i−ii−i-1-111ii−i−i-1-111ii−i−ii−i-11-1-111ii−i−i1-11-1−ii−ii
χ281-1-1111-1-11−i−iii-111-11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−ii-1-111-1-111−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1i−ii−i-1-111ii−i−i-1-111ii−i−i−ii1-111-1-1−i−iii-11-11i−ii−i
χ291-1-1111-1-11−i−iii-111-11-1-111-1-1-1-1-1-11111−i−i−i−iiiii−ii11-1-1-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−iii−i−i-1-111−iii−i11-1-1−i−iii-1-111ii−i−ii−i-1111-1-1−i−iii-111-1i−i−ii
χ301-1-1111-1-11−i−iii-111-11-1-111-1-1-1-1-1-11111−i−i−i−iiiii−ii11-1-1-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−iii−i11-1-1−i−iii-1-111ii−i−i−ii1-1-1-111ii−i−i1-1-11−iii−i
χ311-1-1111-1-11−i−iii-111-11-1-111-1-1-1-1-1-11111−i−i−i−iiiii−ii-1-11111-1-1ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−iii−i−i-1-111i−i−ii-1-111ii−i−i11-1-1−i−iiii−i-1111-1-1−i−iii1-1-11−iii−i
χ321-1-1111-1-11−i−iii-111-11-1-111-1-1-1-1-1-11111−i−i−i−iiiii−ii-1-11111-1-1ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1i−i−ii-1-111ii−i−i11-1-1−i−iii−ii1-1-1-111ii−i−i-111-1i−i−ii
χ332222222222222-2-2-2-222222220000000022222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000002222222200000000000000000000-2-2-2-20000000000000000
χ342222222222222-2-2-2-222222220000000022222222-2-2000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000022220000000000000000
χ35222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000002222-2-2-2-200000000000000000000-2-2220000000000000000
χ36222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000-2-2-2-222220000000000000000000022-2-20000000000000000
χ3722222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3822222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2111111111111111100000000000000000000
χ3922222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000022-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ4022222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-22211111111-1-1-1-1-1-1-1-100000000000000000000
χ4122222222-1-2-2-2-22222-1-1-1-1-1-1-12222222211111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ4222222222-1-2-2-2-22222-1-1-1-1-1-1-12222222211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000022221111-1-1-1-11111-1-1-1-100000000000000000000
χ4322222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ4422222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-2-2-222222222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000022-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ45222-2-22-2-220000-22-22222-2-2-2-222-2-222-2-200000000002i−2i2i−2i2i−2i2i−2i0000-2-200002222-2-222-2-2000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000
χ46222-2-22-2-220000-22-22222-2-2-2-222-2-222-2-20000000000−2i2i−2i2i−2i2i−2i2i0000-2-200002222-2-222-2-200000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000
χ47222-2-22-2-220000-22-22222-2-2-2-2-2-222-2-22200000000002i−2i2i−2i−2i2i−2i2i0000-2-2000022-2-222-2-222000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000
χ48222-2-22-2-220000-22-22222-2-2-2-2-2-222-2-2220000000000−2i2i−2i2i2i−2i2i−2i0000-2-2000022-2-222-2-22200000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000
χ49222-2-22-2-2-10000-22-22-1-1-1111122-2-222-2-2−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i2i−2i2i−2i000011−i3i3−i3i3-1-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3000000000000−ii−ii3−33−3−ii−ii3−33−300000000000000000000
χ50222-2-22-2-2-10000-22-22-1-1-1111122-2-222-2-2−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i−2i2i−2i2i000011−i3i3−i3i3-1-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3000000000000i−ii−i−33−33i−ii−i−33−3300000000000000000000
χ51222-2-22-2-2-10000-22-22-1-1-1111122-2-222-2-2i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i2i−2i2i−2i000011i3−i3i3−i3-1-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3000000000000−ii−ii−33−33−ii−ii−33−3300000000000000000000
χ52222-2-22-2-2-10000-22-22-1-1-1111122-2-222-2-2i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i−2i2i−2i2i000011i3−i3i3−i3-1-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3000000000000i−ii−i3−33−3i−ii−i3−33−300000000000000000000
χ53222-2-22-2-2-10000-22-22-1-1-11111-2-222-2-222−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i−2i2i−2i2i000011−i3i3−i3i3-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3000000000000−ii−ii3−33−3i−ii−i−33−3300000000000000000000
χ54222-2-22-2-2-10000-22-22-1-1-11111-2-222-2-222−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i2i−2i2i−2i000011−i3i3−i3i3-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3000000000000i−ii−i−33−33−ii−ii3−33−300000000000000000000
χ55222-2-22-2-2-10000-22-22-1-1-11111-2-222-2-222i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i−2i2i−2i2i000011i3−i3i3−i3-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3000000000000−ii−ii−33−33i−ii−i3−33−300000000000000000000
χ56222-2-22-2-2-10000-22-22-1-1-11111-2-222-2-222i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i2i−2i2i−2i000011i3−i3i3−i3-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3000000000000i−ii−i3−33−3−ii−ii−33−3300000000000000000000
χ5722-22-2-22-222-22-20000-22-22-22-2−i2i2−i2i2−i2i2−i2i22-22-22-22-20000000000−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-22-22-2000000000000000000000000−i2i2−i2i2−i2i2−i2i200000000
χ5822-22-2-22-222-22-20000-22-22-22-2−i2i2−i2i2−i2i2−i2i22-22-22-22-20000000000−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22-22-22-22000000000000000000000000i2−i2i2−i2i2−i2i2−i200000000
χ5922-22-2-22-222-22-20000-22-22-22-2i2−i2i2−i2i2−i2i2−i22-22-22-22-20000000000i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-22-22-2000000000000000000000000i2−i2i2−i2i2−i2i2−i200000000
χ6022-22-2-22-222-22-20000-22-22-22-2i2−i2i2−i2i2−i2i2−i22-22-22-22-20000000000i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22-22-22-22000000000000000000000000−i2i2−i2i2−i2i2−i2i200000000
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χ6222-22-2-22-22-22-220000-22-22-22-2−i2i2−i2i2−i2i2−i2i2-22-22-22-220000000000i2−i2i2−i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-222-22-2000000000000000000000000−i2i2−i2i2i2−i2i2−i200000000
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Here i is the imaginary unit (i² = −1).